What is the value of z in 3/7 = 15/z

Mathematics

1 answer:

Doss [256]2 years ago

8 0

Answer:35

Step-by-step explanation:

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omeli [17]

Answer:

a) L(x,y,z) = (-4,0,2)+(2,8,-7)*t

b) (2-z)/7= y/8=(x+4)/2 (option B)

Step-by-step explanation:

the parametric equation of the line passing through the point P₀= (-4,0,2) and parallel to the vector v=2i + 8j - 7k is

L(x,y,z)=P₀+v*t

therefore

L(x,y,z) = (-4,0,2)+(2,8,-7)*t

x=x₀+vx*t = -4 + 2*t

y=y₀+vy*t = 8*t

z=z₀+vz*t = 2 -7*t

solving for t in the 3 equations we get the symmetric equation of the line:

(2-z)/7= y/8=(x+4)/2

thus the option B is correct

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3 years ago

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